Home
Class 11
MATHS
If l ,m ,n are the three positive roots ...

If `l ,m ,n` are the three positive roots of the equation `x^3-a x^2+b x-48=0,` then the minimum value of `(1//l)+(2//m)+(3//n)` equals a`1` b`2` c`3/2` d`5/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If a\ a n d\ b are roots of the equation x^2-x+1=0 then write the value of a^2+b^2dot

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

If x=2 and x=3 are roots of the equation 3x^(2)-2mx+2n=0 , find the values of m and n.

If one root of the equation x^2+a x+3=0 is 1, then the other root is (a) 3 (b) -3 (c) 2 (d) -2

Let x^2-3x+p=0 has two positive roots aa n db , then minimum value if (4/a+1/b) is,

If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to?

If z_1a n dz_2 are the complex roots of the equation (x-3)^3+1=0,t h e nz_1+z_2 equal to 1 b. 3 c. 5 d. 7

If x^2+3x+5=0a n da x^2+b x+c=0 have common root/roots and a ,b ,c in N , then find the minimum value of a+b+ c dot

If the roots of the cubic, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of a^2/(b+1) is equal to __________.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If a ,b ,c ,d in R^+and a ,b ,c,d are in H.P., then (a)a+d > b+c (...

    Text Solution

    |

  2. The minimum value of P=b c x+c a y+a b z , when x y z=a b c , is a. 3...

    Text Solution

    |

  3. If l ,m ,n are the three positive roots of the equation x^3-a x^2+b x-...

    Text Solution

    |

  4. If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...

    Text Solution

    |

  5. For x^2-(a+3)|x|=4=0 to have real solutions, the range of a is a(-oo,-...

    Text Solution

    |

  6. If a ,b ,c are the sides of a triangle, then the minimum value of a/(...

    Text Solution

    |

  7. If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)d a+(log)b ...

    Text Solution

    |

  8. If a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b) is alw...

    Text Solution

    |

  9. If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a)geq12 (b...

    Text Solution

    |

  10. The first term of an arithmetic progression is 1 and the sum of the fi...

    Text Solution

    |

  11. Let a,b ,c be positive integers such that b/a is an integer. If a,b,c ...

    Text Solution

    |

  12. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |

  13. If the sides of a right-angled triangle are in A.P., then the sines of...

    Text Solution

    |

  14. The sum of an infinite geometric series is 162 and the sum of its firs...

    Text Solution

    |

  15. If a ,b ,c are digits, then the rational number represented by odotc a...

    Text Solution

    |

  16. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

    Text Solution

    |

  17. Consider the ten numbers a r ,a r^2, a r^3, ..... ,a r^(10)dot If the...

    Text Solution

    |

  18. The sum of 20 terms of a series of which every even term is 2 times ...

    Text Solution

    |

  19. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

    Text Solution

    |

  20. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

    Text Solution

    |